Continuous Hands-off Control by CLOT Norm Minimization

Challapalli, N and Nagahara, M and Mathukumalli, V (2016) Continuous Hands-off Control by CLOT Norm Minimization. arXiv. pp. 1-8.

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In this paper, we consider hands-off control via minimization of the C LOT (Combined L -One and Two) norm. The maximum hands-off control is the L 0 -optimal (or the sparsest) control among all feasible controls that are bounded b y a specified value and transfer the state from a given initial state to the origin within a fixed time dura tion. In general, the maximum hands-off control is a bang-off-bang control taking value s of ± 1 and 0. For many real applications, such discontinuity in the control is not desirable. To ob tain a continuous but still relatively sparse control, we propose to use the CLOT norm, a conv ex combination of L 1 and L 2 norms. We show by numerical simulation that the CLOT control is con tinuous and much sparser (i.e. has longer time duration on which the control takes 0) than the conventional EN (elastic net) control, which is a convex combination of L 1 and squared L 2 norms.

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IITH Creators:
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Item Type: Article
Uncontrolled Keywords: Optimal control, convex optimization, sparsity, maximum hands-off control, bang-off-bang control
Subjects: Others > Electricity
Divisions: Department of Electrical Engineering
Depositing User: Team Library
Date Deposited: 15 Nov 2016 05:20
Last Modified: 15 Nov 2016 05:20
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